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Spatial engineering of photon-photon entanglement in a quantum dot molecule system

Zahra Amini Sabegh, D.B. Hayrapetyan

Published Jul 29, 2026• 0 citations
Publisher

Abstract

We investigate photon-photon entanglement via the Duan criterion within a three-level closed-loop system embedded in an ensemble of quantum dot molecules (QDMs). In this configuration, one of the interacting quantum modes is treated as a structured quantized field carrying a helical wavefront (Laguerre-Gaussian mode). We demonstrate that the resulting quantum entanglement exhibits a highly non-uniform spatial distribution across the transverse plane of the QDM ensemble. Due to the phase-sensitive nature of the closed-loop system, this spatial profile is strongly modulated by both the magnitude and sign of the orbital angular momentum (OAM) carried by the quantum mode. Our numerical results reveal that the entanglement pattern can be tailored from a uniform circular distribution into discrete multi-lobe structures. This precise spatial engineering of quantized photon entanglement opens up new avenues for high-dimensional quantum cryptography, spatially-multiplexed quantum communications, and the development of solid-state high-capacity quantum memories.

DOI
10.1364/opticaopen.33095642.v1

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We investigate photon-photon entanglement via the Duan criterion within a three-level closed-loop system embedded in an ensemble of quantum dot molecules (QDMs). In this configuration, one of the interacting quantum modes is treated as a structured quantized field carrying a helical wavefront (Laguerre-Gaussian mode). We demonstrate that the resulting quantum entanglement exhibits a highly non-uniform spatial distribution across the transverse plane of the QDM ensemble. Due to the phase-sensitive nature of the closed-loop system, this spatial profile is strongly modulated by both the magnitude and sign of the orbital angular momentum (OAM) carried by the quantum mode. Our numerical results reveal that the entanglement pattern can be tailored from a uniform circular distribution into discrete multi-lobe structures. This precise spatial engineering of quantized photon entanglement opens up new avenues for high-dimensional quantum cryptography, spatially-multiplexed quantum communications, and the development of solid-state high-capacity quantum memories.
We investigate photon-photon entanglement via the Duan criterion within a three-level closed-loop system embedded in an ensemble of quantum dot molecules (QDMs). In this configuration, one of the interacting quantum modes is treated as a structured quantized field carrying a helical wavefront (Laguerre-Gaussian mode). We demonstrate that the resulting quantum entanglement exhibits a highly non-uniform spatial distribution across the transverse plane of the QDM ensemble. Due to the phase-sensitive nature of the closed-loop system, this spatial profile is strongly modulated by both the magnitude and sign of the orbital angular momentum (OAM) carried by the quantum mode. Our numerical results reveal that the entanglement pattern can be tailored from a uniform circular distribution into discrete multi-lobe structures. This precise spatial engineering of quantized photon entanglement opens up new avenues for high-dimensional quantum cryptography, spatially-multiplexed quantum communications, and the development of solid-state high-capacity quantum memories.
We investigate the optical response of a closed-loop three-level quantum dot molecule driven by a structured Laguerre-Gaussian field carrying orbital angular momentum (OAM). Owing to the intrinsic phase sensitivity of the closed-loop configuration, the spatial phase structure of the coupling beam directly imprints on the probe-field dynamics, leading to a strongly spatially dependent optical response. As a result, phenomena such as Autler-Townes splitting, probe absorption, and amplification without inversion arise under both resonant and off-resonant conditions, with their spectral characteristics governed by the sign and magnitude of the OAM index. This OAM-controlled modulation of the optical response reveals a mechanism for phase-engineered light-matter interaction in quantum dot molecules. The results highlight the potential of this solid-state platform for structured light based quantum photonics, including quantum information processing, tunable slow and fast light, and high capacity optical data storage.
Utilizing the vortex beams, we investigate the entanglement between the triple-quantum dot molecule and its spontaneous emission field. We present the spatially dependent quantum dot-photon entanglement created by Laguerre-Gaussian (LG) fields. The degree of position-dependent entanglement (DEM) is controlled by the angular momentum of the LG light and the quantum tunneling effect created by the gate voltage. Various spatial-dependent entanglement distribution is reached just by the magnitude and the sign of the orbital angular momentum (OAM) of the optical vortex beam.
The atom-photon entanglement using the Laguerre-Gaussian (LG) beams is studied in the closed-loop three-level V-type quantum systems. We consider two schemes with near-degenerate and non-degenerate upper levels: in the first, the effect of the quantum interference due to the spontaneous emission is taken into account and in the second, a microwave plane wave is applied to the upper levels transition. It is shown that the atom-photon entanglement in both schemes depends on the intensity profile as well as the orbital angular momentum (OAM) of the applied fields so that the various spatially dependent entanglement patterns can be generated by Laguerre-Gaussian beams with different OAMs. However, due to the zero intensity,no entanglement appears in the center of the optical vortex beams. As a result, the entanglement between dressed atom and its spontaneous emissions in different points of the atomic vapor cell can be controlled by the OAM of the applied fields. Moreover, our numerical results show that the number of the local maximum degree of entanglement (DEM) peaks depends on the OAM of the applied fields. The degrees of freedom for OAM play a crucial role in spatially dependent atom-photon entanglement in such a way that it may possess broad applications in high-dimensional quantum information processing and data storage.
Photon pairs generated from spontaneous parametric down-conversion are a well-established method to realize entangled bipartite photonic systems. Laguerre-Gaussian modes, which carry orbital angular momentum (OAM), are commonly exploited to engineer high-dimensional entangled quantum states. For Hilbert spaces with dimension d>2d>2d>2, maximally entangled states (MESs) help to improve the capacity and security of quantum communication protocols, among several other promising features. However, the direct generation of MESs in well-defined high-dimensional subspaces of the infinite OAM basis has remained a challenge. Here, we formalize how the spatial distribution of the pump beam and the nonlinear profile of the crystal can be simultaneously utilized to generate MESs without additional spatial filtering of OAM modes within a subspace. We illustrate our approach with maximally entangled qutrits (d=3)(d=3)(d=3) and ququints (d=5)(d=5)(d=5).
Photons with complicated spatial mode structures can be applied for different quantum information tasks. Here, we show the entanglement of photons with complex singularity patterns called Hermite-Laguerre-Gaussian (HLG) modes. Measuring one photon of the entangled pairs by HLG mode basis to define its singularity pattern, we can steer the singularity structure of its partner, while the initial singularity structure of the photons is undefined. We also calculate the HLG specific quantum-correlation function. It can be used to extend the quantum key distribution protocols and to tune experiments dealing with high-order transverse modes. In addition we discuss orbital angular momentum properties of the HLG modes and summarize some features of the singularity pattern of the HLG modes with varying angle parameter.